Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 651/292, 357/809 quickly i.e. 11067 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 651/292, 357/809 is 11067.
LCM(651/292, 357/809) = 11067
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 651/292,357/809
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 651,357
Least Common Multiple of Numerators i.e. LCM of 651,357 is 11067.
GCF of Denominators means GCF of 292,809 as per the given fractions.
GCF of 292,809 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 651,357
3 | 651, 357 |
7 | 217, 119 |
31, 17 |
∴ So the LCM of the given numbers is 3 x 7 x 31 x 17 = 11067
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 651,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(651,357) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(651,357) x common factors =21 x 1 = 21
LCM(651,357) = ( 651 × 357 ) / 21
LCM(651,357) = 232407 / 21
LCM(651,357) = 11067
Lets's calculate GCF of 292,809
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11067/1
Therefore the LCM of Fractions 651/292,357/809 is 11067
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Factors of 809
List of positive integer factors of 809 that divides 809 without a remainder.
1,809
Greatest Common Factor
We found the factors 292,809 . The biggest common factor number is the GCF number.
So the greatest common factor 292,809 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 651/292, 357/809?
Answer: LCM of Numerators as per given numbers 651/292, 357/809 is
LCM of Numerators i.e. for 651,357 is 11067
GCF of denominators i.e. for 292,809 is 1.
Thus, LCM of Fractions is 11067.Finally, LCM of Fractions for 651/292, 357/809 is 11067.